Norm of Gaussian integers in arithmetical progressions and narrow sectors
We proved the equidistribution of the Gaussian integer numbers in narrow sectors of the circle of radius x¹/² , x → ∞, with the norms belonging to arithmetic progression N(α) ≡ ℓ (mod q) with the common difference of an arithmetic progression q, q ≪ x²/³⁻ᵋ.
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2020 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188520 |
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| Cite this: | Norm of Gaussian integers in arithmetical progressions and narrow sectors / S. Varbanets, Y. Vorobyov // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 259–270. — Бібліогр.: 4 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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Varbanets, S. Vorobyov, Y. 2023-03-03T19:55:52Z 2023-03-03T19:55:52Z 2020 Norm of Gaussian integers in arithmetical progressions and narrow sectors / S. Varbanets, Y. Vorobyov // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 259–270. — Бібліогр.: 4 назв. — англ. 1726-3255 DOI:10.12958/adm1529 2010 MSC: 11L07, 11T23 https://nasplib.isofts.kiev.ua/handle/123456789/188520 We proved the equidistribution of the Gaussian integer numbers in narrow sectors of the circle of radius x¹/² , x → ∞, with the norms belonging to arithmetic progression N(α) ≡ ℓ (mod q) with the common difference of an arithmetic progression q, q ≪ x²/³⁻ᵋ. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Norm of Gaussian integers in arithmetical progressions and narrow sectors Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| title |
Norm of Gaussian integers in arithmetical progressions and narrow sectors |
| spellingShingle |
Norm of Gaussian integers in arithmetical progressions and narrow sectors Varbanets, S. Vorobyov, Y. |
| title_short |
Norm of Gaussian integers in arithmetical progressions and narrow sectors |
| title_full |
Norm of Gaussian integers in arithmetical progressions and narrow sectors |
| title_fullStr |
Norm of Gaussian integers in arithmetical progressions and narrow sectors |
| title_full_unstemmed |
Norm of Gaussian integers in arithmetical progressions and narrow sectors |
| title_sort |
norm of gaussian integers in arithmetical progressions and narrow sectors |
| author |
Varbanets, S. Vorobyov, Y. |
| author_facet |
Varbanets, S. Vorobyov, Y. |
| publishDate |
2020 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
We proved the equidistribution of the Gaussian integer numbers in narrow sectors of the circle of radius x¹/² , x → ∞, with the norms belonging to arithmetic progression N(α) ≡ ℓ (mod q) with the common difference of an arithmetic progression q, q ≪ x²/³⁻ᵋ.
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| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/188520 |
| citation_txt |
Norm of Gaussian integers in arithmetical progressions and narrow sectors / S. Varbanets, Y. Vorobyov // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 259–270. — Бібліогр.: 4 назв. — англ. |
| work_keys_str_mv |
AT varbanetss normofgaussianintegersinarithmeticalprogressionsandnarrowsectors AT vorobyovy normofgaussianintegersinarithmeticalprogressionsandnarrowsectors |
| first_indexed |
2025-12-07T18:11:32Z |
| last_indexed |
2025-12-07T18:11:32Z |
| _version_ |
1850874100503805952 |